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Finding the Fourth Proportional to 3,575.86, 4,934.82 and 2,003.98

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Solution

The fourth proportional to 3,575.86, 4,934.82 and 2,003.98 is: 2,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.86 : 4,934.82 = 2,003.98 : x
  2. Step 2: Convert to fraction form
    3,575.86/4,934.82 = 2,003.98/x
  3. Step 3: Cross multiply
    3,575.86x = 4,934.82 × 2,003.98
  4. Step 4: Simplify right side
    3,575.86x = 9,889,280.58
  5. Step 5: Solve for x
    x = 9,889,280.58/3,575.86
  6. Step 6: Final answer
    x = 2,765.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.